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Common Core Standard HSA-REI.C.5 Questions

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

You can create printable tests and worksheets from these questions on Common Core standard HSA-REI.C.5! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Grade 9 Linear Equations CCSS: HSA-REI.C.5
Solve the system of equations.
[math]-x+y=3[/math]
[math]x+y=7[/math]
  1. x=3, y=1
  2. x=2, y=5
  3. x=1, y=1
  4. x=4, y=2
  5. x=5, y=2
Grade 9 Linear Equations CCSS: HSA-REI.C.5
Solve the system of equations.
[math]x+3y=9[/math]
[math]4x-2y=-6[/math]
  1. x=0, y=0
  2. x=3, y=7
  3. x=1, y=2
  4. x=3, y=3
  5. x=0, y=3
Grade 10 Linear Equations CCSS: HSA-REI.C.5
Select the solution to the system of linear equations.
[math]x+y=8[/math]
[math]2x-y=1[/math]
  1. [math]5, 2[/math]
  2. [math]2/5, 2/11[/math]
  3. [math]2, 5[/math]
  4. [math]5/2,11/2[/math]
Grade 10 Linear Equations CCSS: HSA-REI.C.5
Grade 10 Linear Equations CCSS: HSA-REI.C.5
Select the solution to the system of linear equations.
[math]t+2s=1[/math]
[math]2t-3s=23[/math]
  1. [math]-3, 7[/math]
  2. [math]2/3, 2[/math]
  3. [math]-3/7, 1/3[/math]
  4. [math]-7, 3[/math]
Grade 10 Linear Equations CCSS: HSA-REI.C.5
Select the solution to the system of linear equations.
[math]r=-3s[/math]
[math]r+4s=10[/math]
  1. [math]-30,10[/math]
  2. [math]3/4,-3/4[/math]
  3. [math]1/3,3[/math]
  4. No Solution
Grade 10 Linear Equations CCSS: HSA-REI.C.5
Select the solution to the system of linear equations.
[math]x+2y=11[/math]
[math]3x-2y=9[/math]
  1. [math]3, 2[/math]
  2. [math]5, 3[/math]
  3. [math]4.5, 2[/math]
  4. [math]1/2, 2/3[/math]
Grade 10 Linear Equations CCSS: HSA-REI.C.5
Select the solution to the system of linear equations.
[math]y=5x+8[/math]
[math]4y+x=4[/math]
  1. [math]-4,3[/math]
  2. [math]1,2[/math]
  3. [math]-4/3,4/3[/math]
  4. [math]1/2,2/5[/math]
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